Here are some known facts about creatures on the planet Zorbus:
1) Some Meeks and Gadies have legs.
2) Not all Gadies have legs or hands.
3) All Meeks only have hands or legs.
If all these facts are true, then which of these statements is definitely false?
Statement I: Meeks and Gadies could be the same creature.
Statement II: No Meeks or Gadies have hands and no legs.
Statement III: There exist a non-Gadie creature on Zorbus which have no hands and legs.
Give your answer and provide a brief explanation.